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Finding the Third Proportional to 55,715 and 83,837

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Solution

The third proportional to 55,715 and 83,837 is: 126,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,715 : 83,837 = 83,837 : x
  2. Step 2: Convert to fraction form
    55,715/83,837 = 83,837/x
  3. Step 3: Cross multiply
    55,715x = 83,837 × 83,837
  4. Step 4: Simplify right side
    55,715x = 7,028,642,569
  5. Step 5: Solve for x
    x = 7,028,642,569/55,715
  6. Step 6: Final answer
    x = 126,153.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.